What is the Least Common Multiple of 54909 and 54913?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 54909 and 54913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54909 and 54913, than apply into the LCM equation.

GCF(54909,54913) = 1
LCM(54909,54913) = ( 54909 × 54913) / 1
LCM(54909,54913) = 3015217917 / 1
LCM(54909,54913) = 3015217917

Least Common Multiple (LCM) of 54909 and 54913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54909 and 54913. First we will calculate the prime factors of 54909 and 54913.

Prime Factorization of 54909

Prime Factorization of 54913

Now multiplying the highest exponent prime factors to calculate the LCM of 54909 and 54913.

LCM(54909,54913) = 3² × 6101¹ × 89¹ × 617¹
LCM(54909,54913) = 3015217917